Answer:
D. ⅘
Step-by-step explanation:
According to the acronym for trig ratio, SOHCAHTOA, we know that:
[tex] sin (\theta) = \frac{opposite}{hypotenuse} [/tex]
In the triangle given,
Opposite = √(20² - 12²) = √256 = 16
Hypotenuse = 20
Thus:
[tex] sin (\theta) = \frac{16}{20} [/tex]
Simplify
[tex] sin (\theta) = \frac{4}{5} [/tex]
